3 (8) ) (2n)! n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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please help me with g.h.and i. thanks
3. Attach your work, in order from (a) to (1), on your own paper. Determine which of the following
series converge. Justify each conclusion with the appropriate tests and explanations.
(-1)"
Vn
(a)
1
(d) Σ
Vn(n – 1)
3"
72
(g)
(2n)!
n=2
n=1
n=1
(b) 2-n
(e) E
n2
(-1)"n³
00
(k) E
n(In n)?
n=1
n=1
n=1
n=2
(1) s-1)* In n.
Vn
n+5
2n
(f) )
n – 1
(c)
(i)
5n
8n – 5
n=1
n2.
n=1
Vnº +1
n=1
n=1
m11 sequences an...pdf
2and3.jpg
N
Transcribed Image Text:3. Attach your work, in order from (a) to (1), on your own paper. Determine which of the following series converge. Justify each conclusion with the appropriate tests and explanations. (-1)" Vn (a) 1 (d) Σ Vn(n – 1) 3" 72 (g) (2n)! n=2 n=1 n=1 (b) 2-n (e) E n2 (-1)"n³ 00 (k) E n(In n)? n=1 n=1 n=1 n=2 (1) s-1)* In n. Vn n+5 2n (f) ) n – 1 (c) (i) 5n 8n – 5 n=1 n2. n=1 Vnº +1 n=1 n=1 m11 sequences an...pdf 2and3.jpg N
Expert Solution
Step 1

The given infinite series is:

Calculus homework question answer, step 1, image 1

Let

Calculus homework question answer, step 1, image 2

Ratio test for convergence of infinite series states that if L<1, the series converges absolutely. If L>1, the series is divergent. 

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